Things that are impossible to solve under capitalism which we'd have, at least, a much larger chance of solving under socialism:
1. Wealth inequality: Without CEOs and (non-worker) shareholders (i.e. the richest shareholders), and with the power of companies in the workers' hands, wealth can be proportionally distributed. There is a falsehood, that socialism is about everyone having exactly the same wage. There can be a structural and wage hierarchy under socialism; it's just much fairer.
2. Child labour: Currently, companies outsource their labour to cheaper (usually Asian) countries. This includes a huge amount of child labour. No amount of reform will solve this. Under socialism, the labour would stay within the country, as people would otherwise lose jobs, and, as the workers would have a say in the company, they would refuse outsourcing of labour.
3. Saving the environment: Because companies outsource so much, huge numbers of tankers have to move across the oceans on a regular basis. By keeping work inside the country, it would cut down massively on fossil fuel expenditure, oil spills and other environmental disasters. Also, under capitalism, because the end goal is maximum profit, companies have little incentive, to save the planet. No amount of reform will solve that fundamental problem. Under socialism, because there is a much larger statistical chance of there being morally sound people running companies (because they're owned and run by more people), it is much more likely we'd see a decline in the destructive treatment of the planet. We'd, also, be more likely to see co-ops springing up selling green energy, and, without huge fossil fuel corporations controlling the market, people would have a green source of energy.
4. Debt culture: Currently, the governments don't want to tax the people, because they'd be voted out; they don't want to tax the rich (who control most of the wealth), because they'd be voted out. So, the rich lend money to the government which they have to pay back with interest, and they avoid paying corporation tax on their companies. Under socialism, wealth distribution would be much fairer, the rich wouldn't have the money, to control the current debt culture from which they benefit, and the people would be far happier being taxed knowing the money they gave in taxes would be used for their benefit, and not for paying back the rich (with interest) who don't care about them or the planet.
There are other solvable issues, too, but if we solved these four through socialism--and, I'm not saying we have a 100% chance of doing so under socialism, but that we have a 0% chance of doing so under capitalism (otherwise, we would have done it by now)--then we should all be on board with socialism. That is the 'narrative' (i.e. plain fact) I am creating. You know it, and you're trying to subvert attention away from it.